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Communications in Algebra Volume 30, 2002 - Issue 10
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Original Articles

HIGHEST WEIGHT VECTORS IN THE VERTEX OPERATOR ALGEBRA ASSOCIATED WITH A LATTICE OF TYPE

Hiromichi Yamada Department of Mathematics, Hitotsubashi University Kunitachi, Tokyo, 186-8601, Japan
Pages 5065-5089 | Received 01 Jun 2001, Published online: 19 Aug 2006
 
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ABSTRACT

All highest weight vectors of weight one and two in the vertex operator algebra associated with a lattice with respect to a certain choice of mutually orthogonal conformal vectors are determined.

ACKNOWLEDGMENTS

The author would like to thank Masaaki Kitazume and Masahiko Miyamoto for helpful advice concerning .

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